Aptitude - Ratio and Proportion - Discussion

Discussion Forum : Ratio and Proportion - General Questions (Q.No. 2)
2.
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
2 : 5
3 : 5
4 : 5
6 : 7
Answer: Option
Explanation:

Let the third number be x.

Then, first number = 120% of x = 120x = 6x
100 5

Second number = 150% of x = 150x = 3x
100 2

Ratio of first two numbers = 6x : 3x = 12x : 15x = 4 : 5.
5 2

Discussion:
133 comments Page 1 of 14.

Katyani said:   3 months ago
Very helpful. Thanks everyone.
(4)

Sravya said:   4 months ago
Here third nbr 100 say.

20%,50%is more than 100 respectively.
then;
120 %, 150%, 100%.
120 : 150 : 100.
120 : 150.
4 : 5.
(35)

Rohith said:   5 months ago
Let x first number is 100 , 20% is more i.e; 120.
Let y second number is 100, 50% is more i.e; 150.
So, 120 : 150 is 4 : 5.
(12)

Ramkumar P said:   7 months ago
120/100 : 150/100.
120 : 150,
4 : 5.
(15)

FOUAD said:   8 months ago
Let A = 1.2 X.
Let B = 1.5 X.
A/B = 1.2X/1.5X,
A/B = 4/5,
A:B = 4:5.
(8)

Suhel Patel said:   8 months ago
Let, the third number is 100.
now the first is 20% more than 3rd number = 120.
and the second number is 50% more than the 3rd number = 150.

Then, 1 num : 2 num.
120 : 150.

So, the answer is 4:5.
(36)

Diyaa said:   8 months ago
Let the third number be denoted as x.
The first number is 20% more than x.
Therefore, the first number is: x+0.2x = 1.2x.
The second number is 50% more than x.
Therefore, the second number is x+0.5x = 1.5x.
We need to find the ratio of the first to the second number: 1.2x/1.5x.
The x terms cancel out, simplifying the ratio into 4/5.

So, the Answer is 4/5.
(8)

Apeksha Puppalwar said:   9 months ago
Consider third number as X.

The question say's that 1st number is 20% more than the third number means a = 20%X + X.
Similarly,
Second number = b = 50%X + X,
a/b = 0.2X + X/0.5X + X,
= X(0.2 + 1)/X(0.5 + 1),
= 1.2/1.5.
= 4/5.
(7)

Vin said:   9 months ago
Thanks everyone for explaining the answer.
(3)

Ujjwal kumar said:   11 months ago
Let the third number be 100.

1st number is 120, and the second number 150.

Then the ratio of 120 and 150 will be 4:5.
(44)


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